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Finding the Third Proportional to 156,676 and 369,784

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Solution

The third proportional to 156,676 and 369,784 is: 872,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,676 : 369,784 = 369,784 : x
  2. Step 2: Convert to fraction form
    156,676/369,784 = 369,784/x
  3. Step 3: Cross multiply
    156,676x = 369,784 × 369,784
  4. Step 4: Simplify right side
    156,676x = 136,740,206,656
  5. Step 5: Solve for x
    x = 136,740,206,656/156,676
  6. Step 6: Final answer
    x = 872,757.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.